201020012100 has 108 divisors (see below), whose sum is σ = 647115520324. Its totient is φ = 52156535040.

The previous prime is 201020012099. The next prime is 201020012117. The reversal of 201020012100 is 1210020102.

It can be written as a sum of positive squares in 6 ways, for example, as 10073735424 + 190946276676 = 100368^2 + 436974^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2985019 + ... + 3051618.

Almost surely, 2^201020012100 is an apocalyptic number.

201020012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020012100 is an abundant number, since it is smaller than the sum of its proper divisors (446095508224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201020012100 is a wasteful number, since it uses less digits than its factorization.

201020012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036694 (or 6036684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201020012100 its reverse (1210020102), we get a palindrome (202230032202).

The spelling of 201020012100 in words is "two hundred one billion, twenty million, twelve thousand, one hundred".